Past Events

The very extensive theories of Banach spaces and Banach algebras,
including algebras of operators on Banach spaces, are the foundation
stones of much modern analysis.
For certain reasons M. Polyakov and I were led to introduce a more&nbsp more››

The Minkowski linear combination is a fundamental operation for convex
bodies. Further basic structures on the space of convex bodies are the
topology induced by the Hausdorff metric, and the operation of the
group of rigid motions. Suppose we hav&nbsp more››

We consider random polytopes, generated as intersections of closed
halfspaces (containing 0) bounded by the hyperplanes of a Poisson
process of hyperplanes (satisfying only some homogeneity property under
dilatations). The central question (a very&nbsp more››

If an N-dimensional regular crosspolytope is projected to a uniform
random d-dimensional subspace and N is large, then the projection has
strong neighborliness properties, with high probability. Strong results
in this direction were recently obtai&nbsp more››

The summer school will consist of invited talks from leading experts in the areas of Communications and Information theory. The talks will be self-contained and aimed at introducing graduate students and researchers to new areas in Communications and&nbsp more››

Many learners of mathematics seem to take a passive stance towards
their studies, at best assenting to a sequence of definitions and
theorems. The notion of personal example spaces will be developed as a
setting for pedagogical strategies which ca&nbsp more››

In this talk I would like to demonstrate how Hodge theory can play a
crucial role in an arithmetic question. The issue is to construct an
example of a projective smooth surface X over a p-adic field K such that for any prime&nbsp more››

Living systems are subject to constant evolution. Their environment can
be considered as a nutrient shared by all the population. This allows
certain individuals, characterized by a ‘physiological trait’, to
expand faster because they are bett&nbsp more››

The algebraic centre of the uniformly continuous compactification GUC of an abelian locally compact group G is G itself. There is a stronger result: if u commutes with just two (carefully chosen) elements of&nbsp more››

A classical theorem due to Hardy says that a non-zero measurable
function on the real line and irs Fourier transform cannot both have
very strong exponential decay. Hardy's theorem also holds for Rn,
and during the past ten years there&nbsp more››

Braided Hopf algebras occur naturally in the structure theory of
ordinary Hopf algebras. I will show how they arise in this context and
how they can be used to construct (and possibly to classify) ordinary
finite dimensional Hopf algebras.&nbsp more››

Parasitoids are a specialised class of predators that use a single prey
or host for their juvenile development but unlike parasites kill the
host as a result of this development. Within this lifestyle there are
many variations in life history that&nbsp more››

Computer models are imperfect representations of real phenomena. An
austere view is that validating a model cannot be done, the "primary
value of models is heuristic: models are representations, useful for
guiding further study but not suscep&nbsp more››